Which of the following expressions has a value of 1.257
A. (2.5)(-0.5)
B. -(2.5)(0.5)
C. (-2.5)(-0.5)
D. (-2.5)(-0.5)

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Ответ:

kleshead

19.04.2020

Mathematics

Measure of angle E is 55°

Length of the side EF is 12.49 units

Step-by-step explanation:

We are given the triangle EDF with angle measures ∠D = 43° and ∠F = 82°.

As, we know, The sum of the measures of angles in a triangle is 180°.

So, we have,

∠E + ∠D + ∠F = 180°

i.e. ∠E + 43° + 82° = 180°

i.e. ∠E = 180° - 125°

i.e. ∠E = 55°

Thus, the measure of angle E is 55°.

Further we have,

$\frac{15}{\sin 55}=\frac{EF}{\sin43}$

i.e. $EF=\frac{15\times \sin43}{\sin 55}$

i.e. $EF=\frac{15\times 0.682}{0.819}$

i.e. $EF=\frac{10.23}{0.819}$

i.e. EF = 12.49 units

Thus, the length of the side EF is 12.49 units.

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Which of the following expressions has a value of 1.257 A. (2.5)(-0.5) B. -(2.5)(0.5) C. (-2.5)(-0.5) D. (-2.5)(-0.5)